Binary Time Series Modeling with Application to Adhesion Frequency Experiments
Prof. Ying Hung ( Department of Statistics & Biostatistics, Rutgers University, USA )2008 - 06 - 17 (Tue.)
13:30 - 15:00
501, Freshman Classroom BuildingCell adhesion plays an important role in many physiological and pathological processes. The only published method for measuring the kinetic rates of cell adhesion is the repeated adhesion frequency. Traditional analysis of adhesion frequency experiments assumes that the adhesion test cycles are independent Bernoulli trials. This assumption is often violated in practice. The major part of the talk will focus on a new binary time series model motivated by the analysis of repeated adhesion frequency tests. To assess the adequacy of distribution assumptions on the dependent binary data with random effects, a goodness-of-fit statistic will be proposed. The asymptotic distribution of the goodness-of-fit statistic is derived and its finite-sample performance is examined via a simulation study. Application of the proposed methodology to real data from a T-cell experiment at Georgia Tech provides some valuable information, including quantifying the memory effects in cells and molecules. This information is crucial to the body's defense in the immune system.

Modeling and simulations of physiological flows:-Applications to blood circulation and body respiration-Liver blood flow and mini-invasive cancer therapies
Prof. Marc Thiriet ( Université Pierre et Marie Curie (Paris 6), France )2008 - 06 - 16 (Mon.)
09:00 - 12:10
308, Mathematics Research Center Building (ori. New Math. Bldg.)The final week will be devoted to joint work with SCCS team in the framework of the CFT associated team.

Nonlinear Population Models: An Introduction to Qualitative Analysis Using Phase Planes
Prof. Hung-Chi Kuo ( Department of Atmospheric Sciences, National Taiwan University )2008 - 06 - 13 (Fri.)
15:30 - 17:00
308, Mathematics Research Center Building (ori. New Math. Bldg.)

Modeling and simulations of physiological flows:-Applications to blood circulation and body respiration-Liver blood flow and mini-invasive cancer therapies
Prof. Marc Thiriet ( Université Pierre et Marie Curie (Paris 6), France )2008 - 06 - 12 (Thu.)
14:10 - 17:00
308, Mathematics Research Center Building (ori. New Math. Bldg.)1. Navier-Stokes equation;Dimensionless form; Flow-governing parameters; 2. Heat and Mass Transfer in Biological Tissues; 3. BioFluid Mechanics (flow behavior, stability, etc.); 4. Deformable Conduits (distensibility and collapsibility); 5. Detailed, 1D, and Lumped Parameter Models; 6. Cybernetics Medicine and Surgery; 7. Physiological and Pathophysiological Examples on three selected topics (blood circulation, ven-tilation, liver).

Comparison theorems in Riemannian geometry2008 - 06 - 12 (Thu.)
19:00 - 20:30
405, Mathematics Research Center Building (ori. New Math. Bldg.)

Modeling and simulations of physiological flows:-Applications to blood circulation and body respiration-Liver blood flow and mini-invasive cancer therapies
Prof. Marc Thiriet ( Université Pierre et Marie Curie (Paris 6), France )2008 - 06 - 11 (Wed.)
09:00 - 12:10
308, Mathematics Research Center Building (ori. New Math. Bldg.)1. Navier-Stokes equation;Dimensionless form; Flow-governing parameters; 2. Heat and Mass Transfer in Biological Tissues; 3. BioFluid Mechanics (flow behavior, stability, etc.); 4. Deformable Conduits (distensibility and collapsibility); 5. Detailed, 1D, and Lumped Parameter Models; 6. Cybernetics Medicine and Surgery; 7. Physiological and Pathophysiological Examples on three selected topics (blood circulation, ven-tilation, liver).

Ricci flow
Prof. Chang-Shou Lin ( Department of Mathematics, National Taiwan University )2008 - 06 - 10 (Tue.)
09:10 - 12:10
308, Mathematics Research Center Building (ori. New Math. Bldg.)

Local theory of metric space
Mr. An-Sheng Jhang ( New York University, USA )2008 - 06 - 10 (Tue.)
16:00 - 17:00
405, Mathematics Research Center Building (ori. New Math. Bldg.)

A general logistic type discriminant analysis with U-divergence for contaminated data
Prof. Su-Yun Huang ( Institute of Statistical Science , Academia Sinica )2008 - 06 - 10 (Tue.)
13:30 - 15:00
405, Mathematics Research Center Building (ori. New Math. Bldg.)We will first review works by S. Eguchi et al. on logistic type discriminant analysis and its link to U-divergence, Neyman-Pearson Lemma and area under ROC curve. Next, we will discuss the extension of logistic type discriminant analysis to kernel-based support vector machines for contaminated data.

On Path Integrals
Prof. Adrian Poon Chuan Lim ( Vanderbilt University, USA )2008 - 06 - 10 (Tue.)
14:30 - 15:30
308, Mathematics Research Center Building (ori. New Math. Bldg.)

Golbarg-Trudinger, second order, Elliptic PDE.
Dr. Hidemitsu Wadade ( Math. Division, NCTS/Taipei & Taida Institute for Mathematical Sciences )2008 - 06 - 10 (Tue.)
18:30 - 20:00
308, Mathematics Research Center Building (ori. New Math. Bldg.)這個seminar的目的是由一群學幾何幾析及偏 微分方程的學生組成，主要要學習elliptic PDE 的基本理論，歡迎有興趣的同學來參加。

Modeling and simulations of physiological flows:-Applications to blood circulation and body respiration-Liver blood flow and mini-invasive cancer therapies
Prof. Marc Thiriet ( Université Pierre et Marie Curie (Paris 6), France )2008 - 06 - 09 (Mon.)
09:00 - 12:10
308, Mathematics Research Center Building (ori. New Math. Bldg.)1. Navier-Stokes equation;Dimensionless form; Flow-governing parameters; 2. Heat and Mass Transfer in Biological Tissues; 3. BioFluid Mechanics (flow behavior, stability, etc.); 4. Deformable Conduits (distensibility and collapsibility); 5. Detailed, 1D, and Lumped Parameter Models; 6. Cybernetics Medicine and Surgery; 7. Physiological and Pathophysiological Examples on three selected topics (blood circulation, ven-tilation, liver).

Dr. Yu-Yun Chen  ( National Center for Theoretical Sciences ) 

Prof. Zhen-Qing Chen  ( Department of Atmospheric Sciences, University of Washington, USA )

Differential Equation Models：Carbon Dating, Age of the Universe, HIV Modeling
Prof. Hung-Chi Kuo ( Department of Atmospheric Sciences, National Taiwan University )2008 - 06 - 06 (Fri.)
15:30 - 17:00
308, Mathematics Research Center Building (ori. New Math. Bldg.)

Eigenvalue problem
Mr. Jui-En Chang ( Department of Mathematics, National Taiwan University )2008 - 06 - 05 (Thu.)
14:30 - 15:30
504, Freshman Classroom Building

Lectures on Differential Geometry
Mr. Ye-Kai Wang ( Department of Mathematics, National Taiwan University )2008 - 06 - 05 (Thu.)
19:00 - 20:30
405, Mathematics Research Center Building (ori. New Math. Bldg.)

Prof. Wen-Ching Winnie Li  ( & Pennsylvania State University, USA )

The normalized curve shortening flow and homothetic solutions
Mr. Yang-Kai Lue ( Department of Mathematics, National Taiwan University )2008 - 06 - 05 (Thu.)
15:30 - 16:30
504, Freshman Classroom Building

Modeling and simulations of physiological flows:-Applications to blood circulation and body respiration, -Liver blood flow and mini-invasive cancer therapies
Prof. Marc Thiriet ( Université Pierre et Marie Curie (Paris 6), France )2008 - 06 - 05 (Thu.)
14:10 - 17:00
308, Mathematics Research Center Building (ori. New Math. Bldg.)1. Anatomy of the Cardiovascular and Respiratory System 2. Physiology of the Cardiovascular and Respiratory System 3. Rheology of the Cardiovascular and Respiratory System 4. Liver Geometry, Functions, and Rheology 5. Imaging and 3D Reconstruction.

Modeling and simulations of physiological flows:-Applications to blood circulation and body respiration, -Liver blood flow and mini-invasive cancer therapies
Prof. Marc Thiriet ( Université Pierre et Marie Curie (Paris 6), France )2008 - 06 - 04 (Wed.)
09:00 - 12:10
308, Mathematics Research Center Building (ori. New Math. Bldg.)1. Anatomy of the Cardiovascular and Respiratory System 2. Physiology of the Cardiovascular and Respiratory System 3. Rheology of the Cardiovascular and Respiratory System 4. Liver Geometry, Functions, and Rheology 5. Imaging and 3D Reconstruction.

Golbarg-Trudinger, second order, Elliptic PDE.
Dr. Hidemitsu Wadade ( Math. Division, NCTS/Taipei & Taida Institute for Mathematical Sciences )2008 - 06 - 03 (Tue.)
18:30 - 20:00
308, Mathematics Research Center Building (ori. New Math. Bldg.)這個seminar的目的是由一群學幾何幾析及偏 微分方程的學生組成，主要要學習elliptic PDE 的基本理論，歡迎有興趣的同學來參加。

Prof. Jing Yu  ( Department of Mathematics, National Taiwan University & Taida Institute for Mathematical Sciences ) 

Ricci flow
Prof. Chang-Shou Lin ( Department of Mathematics, National Taiwan University )2008 - 06 - 03 (Tue.)
09:10 - 12:10
308, Mathematics Research Center Building (ori. New Math. Bldg.)

Causality in Lorentz Manifolds
Dr. Yen-Wen Fan ( Center for Advanced Study in Theoretical Sciences, National Taiwan University )2008 - 06 - 03 (Tue.)
16:10 - 17:00
405, Mathematics Research Center Building (ori. New Math. Bldg.)

Differential Expression of Microarray Time Course Data
Dr. Yu Chuan Tai ( University of California, San Francisco, USA )2008 - 06 - 03 (Tue.)
13:30 - 15:00
405, Mathematics Research Center Building (ori. New Math. Bldg.)

Folded Holomorphic Maps
Prof. Jens von Bergmann ( University of Notre Dame, USA )2008 - 06 - 03 (Tue.)
11:00 - 12:10
308, Mathematics Research Center Building (ori. New Math. Bldg.)The theory of folded holomorphic maps is a program to extend the tools of $J$--holomorphic curves to all oriented 4--manifolds by utilizing folded symplectic structures.
A folded symplectic structure on a manifold is a closed 2-form that is non-degenerate away from a real codimension 1 hypersurface ("fold"), on which its kernel gives a 1-dimensional foliation. Every oriented 4--manifold admits such a structure. Folded holomorphic maps are pairs of $J$--holomorphic maps from two halfs of a Riemann surfaces. The halfs are separated by a codimension 1 submanifold, which has image on the fold and is satisfying an appropriate boundary condition. This boundary condition constitutes the heart of the theory and can be visualized by "tunneling" in the fold, allowing maps to exit at a location that is different from where they enter the fold. We prove that under the simplifying assumption that the fold is "circle-invariant" this leads to a Fredholm problem. Such folds occur frequently. Under suitable genericity assumptions, moduli spaces of folded holomorphic maps have the expected dimension. In the case of pseudoconvex folds we show that they possess a natural compactification with boundary stratum of codimension at least 2. We will explain the theory and the mentioned results and give examples of moduli spaces of folded holomorphic maps, including moduli spaces of maps into the the 4-sphere.

Modeling and simulations of physiological flows:-Applications to blood circulation and body respiration, -Liver blood flow and mini-invasive cancer therapies
Prof. Marc Thiriet ( Université Pierre et Marie Curie (Paris 6), France )2008 - 06 - 02 (Mon.)
09:00 - 12:10
308, Mathematics Research Center Building (ori. New Math. Bldg.)1. Anatomy of the Cardiovascular and Respiratory System 2. Physiology of the Cardiovascular and Respiratory System 3. Rheology of the Cardiovascular and Respiratory System 4. Liver Geometry, Functions, and Rheology 5. Imaging and 3D Reconstruction.

Galois cohomology: Quadratic forms
Prof. Ming-Chang Kang ( Department of Mathematics, National Taiwan University )2008 - 06 - 02 (Mon.)
15:30 - 17:30
308, Mathematics Research Center Building (ori. New Math. Bldg.)

Prof. Dan'l Pierce  ( Access Analytics International, USA )